decompwlj 3D

Odd nonprimes

A014076 on the OEIS · family complement

Weight–level plate of Odd nonprimes
Click the plate to explore it in 3-D. Weight k across, level L up, both on log scales: blue in the weight class (k ≤ L), orange in the level class (k > L). The dashed diagonal is k = L.
Open in the 3-D viewerA014076 on the OEIS
Terms100,000 (n = 1 … 100,000)
Decomposable (a > 2d)99,998
Level class, k > L21,011 · 21.01 %
Weight class, k ≤ L78,987 · 78.99 %
Ties, k = L82
On the level line L = 120,462
Forced level, l ≤ d²3
Range of a(n)1 … 242,925
Range of the jump d2 … 8
Largest weight k, level L242,911, 80,971

1 and the odd composites. Gaps 2, 4, 6 and 8. The level share, 21.01 %, is above the odd numbers' 17.98 %; 97 % of the level class is on L = 1.

The decomposition

Every term of a strictly increasing sequence is written a(n) = k(n)·L(n) + d(n): the jump d = a(n+1) − a(n), the weight k the least divisor of a − d greater than d, the level L = (a − d)/k. A term decomposes when a > 2d; it is in the level class when k > L and in the weight class when k ≤ L. See decompwlj.com and arXiv:0711.0865, or how it works, with worked examples and a live one.